What is the slope-intercept equation of the line shown below? (3,4) (-3,-2)

Find the gradient
m = y2-y1 / x2-x1
m = 4-(-2) / 3-(-3)
m = 6 / 6
m = 1

Insert the values of one of the points into y=mx+c to find c (choosing point (3,4)):
y = mx + c
4 = 1(3) + c
c = 4 - 3
c = 1

Therefore, the equation is:
y = x + 1

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